Question

A simple pendulum is swinging with an amplitude $\theta$ as shown in above figure. If the amplitude is increased and the pendulum is released from a greater angle:

• A. The period will decrease.
• B. The period will increase.
• C. The period will not change.
• D. The frequency will increase.
• E. The frequency will decrease.

Answer 1

The correct option is C The period will not change.

The time period of the pendulum is given by $2\pi \sqrt{\frac{l}{g}}$.

Hence it is independent of the amplitude of the pendulum.

Increasing the amplitude would, however, increase the total energy of the pendulum.